1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentina_108 [34]
3 years ago
12

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Mathematics
2 answers:
mylen [45]3 years ago
8 0

Question;

1) The function is increasing for all real values of x where

x < –4.

2) The function is increasing for all real values of x where

–6 < x < –2.

3) The function is decreasing for all real values of x where

x < –6 and where x > –2.

4) The function is decreasing for all real values of x where

x < –4.

Answer:

The correct option is;

1) The function is increasing for all real values of x where x < -4

Step-by-step explanation:

From the question we note that the vertex of the open down parabolic function f(x) = -(x+6)(x+2) is (-4, 4) with x intercept at (-2, 0)

Therefore, since the parabola is symmetric about the vertex, the other x intercept is (-6, 0)

The highest point of the function of the open down (turned, upside down) parabola is the vertex (-4, 4), also, a function is said to be increasing when the y value increases as the x value is increased

Points, f(x) values on the left of the vertex of an opened down parabola are increasing and points on the right are decreasing.

Therefore, since coordinates of points on the left of the vertex are that of x < -4, we have

The function is increasing for all real values of x where x < -4

schepotkina [342]3 years ago
7 0

Answer:

a. The function is increasing for all real values of x where  x < –4.

Step-by-step explanation:

Let me help you, I have answered this question once in Brainly as well

Given the factored form of the function:

f(x) = -(x + 6)(x+2)

<=> f(x) = -x^{2} - 8x -12

We will convert to vertex form

f(x) = -(x+4)^{2} + 4

Let analyse other possible answers:

<u>a. The function is increasing for all real values of x where  x < –4.</u>

True, because  the parameter a = - 1 so the graph open down all over its domain

<u>b. The function is increasing for all real values of x where  –6 < x < –2.</u>

Wrong, the function decrease in the interval from –4.< x < -2

<u>c. The function is decreasing for all real values of x where  x < –6 and where x > –2.</u>

Wrong, the function increase in the interval from -6 < x < -4

<u>d. The function is decreasing for all real values of x where  x < –4.</u>

Wrong,  The function is increasing  for all real values of x where  x < –4.

You might be interested in
The mean age of Mr Jasmi,Miss Haslinda and their three children is 38 years. The mean age of their three children is 18 years. C
DedPeter [7]
Answer: 68

Explanation:

Let x be the age of Mr Jasmi
y be the age of Miss Haslinda
a + b + c be the age of the 3 children

We can write:
(x + y + a + b + c)/5 = 38

But:
(a + b + c)/3 = 18
a + b + c = 18(3)
a + b + c = 54

Substitute this value to our first equation

(x + y + 54)/5 = 38
x + y + 54 = 38(5)
x + y + 54 = 190
x + y = 190 - 54
x + y = 136

Thus:
Mean age of (mr jasmi and miss Linda) = (x+y)/2

But x + y = 136

=> mean age = 136/2 = 68
4 0
3 years ago
At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this si
liq [111]

Answer:

line

Step-by-step explanation:

y= 2+(x-1)*1= x+1

y=x+1

linear function, the graph is going to be a line

6 0
3 years ago
Read 2 more answers
Learning Task 1. Group the given equations into two based on observed common properties.
AnnZ [28]

Quadratic Equations in Single Variable

n²-3n+10=0

2x²+2x+1=0

25b²-16=0

f²-3f+2=0

1/3m +2m=4

a²=225

Linear Equation in single Variable

8-3k=12

5w+5=0

10u-5=8

Linear Equation in Two  Variable

2y-z=9

3r+2e=6

d=3e-7

<h3>What is an equation?</h3>

It should be noted that an equation simply means the expression that's used to show the relationship between the variables.

In this case, the equation has been grouped.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Group the given equations into two based on observed common properties.

Equations

n²-3n+10=0

8-3k=12

2y-z=9

2x²+2x+1=0

25b²-16=0

3r+2e=6

5w+5=0

f²-3f+2=0

d=3e-7

1/3m +2m=4

10u-5=8

a²=225

6 0
1 year ago
A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then d
Bumek [7]

Answer:

Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.

To Find :Convert this number into first arc minutes then degrees.

Solution:

60 arc seconds = 1 arc minute

1 arc seconds = \frac{1}{60} arc minute

12 arc seconds = \frac{1}{60} \times 12 arc minute

12 arc seconds = \frac{1}{5} arc minute

So, 12 arc seconds = \frac{1}{5} arc minute

Now convert it into degrees

60 arc minute = 1 degree

1 arc minute = \frac{1}{60} degree

\frac{1}{5} arc minute = \frac{1}{60} \times \frac{1}{5} degree

\frac{1}{5} arc minute = \frac{1}{300} degrees

12 arc seconds = \frac{1}{300} degrees

8 0
3 years ago
For bone density scores that are normally distributed with a mean of 0 and a standard deviation of​ 1, find the percentage of sc
Shkiper50 [21]

Answer:

a) Scores of 2 and higher are significantly high

b) Scores of -2 and lower are significantly low

c) Scores between -2 and 2 are not significant.

Step-by-step explanation:

Mean = 0

Standard deviation = 1

a. significantly high​ (or at least 2 standard deviations above the​ mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

So scores of 2 and higher are significantly high

b. significantly low​ (or at least 2 standard deviations below the​ mean).

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores of -2 and lower are significantly low

c. not significant​ (or less than 2 standard deviations away from the​ mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores between -2 and 2 are not significant.

3 0
3 years ago
Other questions:
  • Can someone explain to me how this has multiple answers? I really don't understand! When I did it I only got the first answer. P
    13·1 answer
  • A boy is n years old. His sister is four times as old. The sister's age is
    15·1 answer
  • 1.6 hours to 9.5 hour
    10·1 answer
  • What does The Bureau of Consumer Protection do for consumers?
    5·1 answer
  • Which pair of ratios is equivalent?
    10·1 answer
  • What is the value of this expression plssssss 8z-3 when z =7
    14·2 answers
  • I need to find the area!<br> Plz help me find the answer!
    12·1 answer
  • You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street
    12·1 answer
  • Find the equation of a line passing through a point (3,5) and perpendicular to the line joining the points (3, 7) and (7, -1)
    11·1 answer
  • Which of these equations are shown on the graph?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!